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Finding the Fourth Proportional to 11,432, 15,776.16 and 7,016

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Solution

The fourth proportional to 11,432, 15,776.16 and 7,016 is: 9,682.08

Step by Step Solution

  1. Step 1: Write the proportion equation
    11,432 : 15,776.16 = 7,016 : x
  2. Step 2: Convert to fraction form
    11,432/15,776.16 = 7,016/x
  3. Step 3: Cross multiply
    11,432x = 15,776.16 × 7,016
  4. Step 4: Simplify right side
    11,432x = 110,685,538.56
  5. Step 5: Solve for x
    x = 110,685,538.56/11,432
  6. Step 6: Final answer
    x = 9,682.08

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These problems maintain the same ratio (1.38) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.